In how many ways can the letters of the word ASSASSINATION be arranged so that all the S s are together ?

Answer

151200

Explanation

The given word 'ASSASSINATION' has 3 A's, 2 I's, 2 N's, 4 S's, 1 T and 1 O.
We consider SSSS as one letter.
Then, SSSS + AAAIINNTO consists of 10 letters, out of which there are 3 A's, 2 I's, 2 N's, 1 T, 1 O and 1 SSSS.
Number of their arrangements `=(10!)/((3!)xx(2!)xx(2!))=151200.`